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Finding the Third Proportional to 42,951.94 and 65,537.25

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Solution

The third proportional to 42,951.94 and 65,537.25 is: 99,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,951.94 : 65,537.25 = 65,537.25 : x
  2. Step 2: Convert to fraction form
    42,951.94/65,537.25 = 65,537.25/x
  3. Step 3: Cross multiply
    42,951.94x = 65,537.25 × 65,537.25
  4. Step 4: Simplify right side
    42,951.94x = 4,295,131,137.56
  5. Step 5: Solve for x
    x = 4,295,131,137.56/42,951.94
  6. Step 6: Final answer
    x = 99,998.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.